25964810496 has 189 divisors, whose sum is σ = 77915634069. Its totient is φ = 8631733248.

The previous prime is 25964810489. The next prime is 25964810579. The reversal of 25964810496 is 69401846952.

The square root of 25964810496 is 161136.

It is a perfect power (a square), and thus also a powerful number.

25964810496 is a `hidden beast` number, since 2 + 596 + 4 + 8 + 1 + 0 + 49 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14113440000 + 11851370496 = 118800^2 + 108864^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 69610566 + ... + 69610938.

Almost surely, 2^25964810496 is an apocalyptic number.

25964810496 is the 161136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25964810496

25964810496 is an abundant number, since it is smaller than the sum of its proper divisors (51950823573).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25964810496 is an frugal number, since it uses more digits than its factorization.

25964810496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 25964810496 in words is "twenty-five billion, nine hundred sixty-four million, eight hundred ten thousand, four hundred ninety-six".